1984Proceedings of the American Mathematical SocietyRequires access

Krull versus global dimension in Noetherian P.I. rings

K. R. Goodearl, Lance W. Small

Open publisher page 17 citations

Abstract

The Krull dimension of any noetherian P.I. ring is bounded above by its global (homological) dimension (when finite).

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What this paper is about

The Krull dimension of any noetherian P.I. ring is bounded above by its global (homological) dimension (when finite).

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OpenAlex reports 17 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The Krull dimension of any noetherian P.I. ring is bounded above by its global (homological) dimension (when finite).

Key concepts: Global dimension, Krull dimension, Noetherian, Mathematics, Pure mathematics, Regular local ring, Dimension (graph theory), Noetherian ring

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